First-order Cosmological Perturbations Engendered by Point-like Masses

Understand

In the framework of the concordance cosmological model the first-order scalar and vector perturbations of the homogeneous background are derived in the weak gravitational field limit without any supplementary approximations.

• The sources of these perturbations (inhomogeneities) are presented in the discrete form of a system of separate point-like gravitating masses.
• The found expressions for the metric corrections are valid at all (sub-horizon and super-horizon) scales and converge at all points except at locations of the sources.
• The average values of these metric corrections are zero (thus, first-order backreaction effects are absent).